Ventura, Jade
Assistant Professor
Research Interests
Differential geometry. Mathematical models in (a) fundamental physics, (b) evolutionary genetics, (c) consciousness research.
Differential geometry. Mathematical models in (a) fundamental physics, (b) evolutionary genetics, (c) consciousness research.
Academic Groups
- Groups, Geometry, and Representations (member)
- Modelling and Applications (affiliate)
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Education
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PhD Mathematics (2021)
Université de Bretagne OccidentaleDissertation: Biconformal Deformations and Solutions to the Einstein Equation
Adviser: Dr. Paul Baird -
MS Mathematics (2014)
University of the Philippines DilimanThesis: Parallel Travel on Spacetime Manifolds
Adviser: Dr. Richard S. Lemence -
BS Applied Mathematics (2010), class valedictorian
University of the Philippines MindanaoThesis: Behavior Pattern Discovery Using Behavior Matrices and Behavior Prediction Relationships: The Case of Prey Delivery Instances of the Philippine Eagle Pithecophaga jefferyi
Adviser: Dr. May Anne E. Mata
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PhD Mathematics (2021)
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Research
Current research projects
- Fundamental physics
Deformation of solutions to the Einstein equation - Evolutionary genetics
Deformation of information manifolds - Consciousness research
Models of consciousness: Mathematical structure and applications
Projects for future research students
- Fundamental physics
Biconformal deformation of solutions to the Einstein equation
Differential equations from biconformal deformation - Evolutionary genetics
- Consciousness research
Integrated information theory: Mathematical structure and applications
Global neuronal workspace theory: Mathematical structure and applications
Featured research students
- Arjun Lhanz Antolin
Multi-view geometry and spherical projections - Ana Katrina Asuncion
Integrated information theory: Mathematical structure and applications - Garry Dacillo
Braided ribbons and free groups - Sherwin Pareña
Generalizations of Einstein manifolds - Cedie Reyes
Biconformal deformation of Ricci solitons
- Fundamental physics
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Teaching
Featured courses
- Undergraduate courses
Math 140 Introduction to modern geometries
Math 142 Elementary topology
Math 146 Introduction to differential geometry - Graduate courses
Math 242 General topology
Math 243 Algebraic topology
Math 246 Differential geometry
- Undergraduate courses
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Publications
- P. Baird and J. Ventura, Four-dimensional Einstein metrics from biconformal deformations, Arch. Math. 57 (2021), no. 5, 255-283, DOI 10.5817/AM2021-5-255.